Question:

Mathematics

1 answer:

allochka39001 [22]3 years ago

3 0

Answer:

It is A

Step-by-step explanation:

I cant explain step by step I am in a rush but it is A

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What is the factorization of 729^15+1000

Nesterboy [21]

$\bf \textit{difference and sum of cubes} \\\\ a^3+b^3 = (a+b)(a^2-ab+b^2) \\\\ a^3-b^3 = (a-b)(a^2+ab+b^2) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} 729=27^2\\ \qquad (3^3)^2\\ 1000=10^3 \end{cases}\implies 729^{15}+1000\implies ((3^3)^2)^{15}+10^3 \\\\\\ ((3^2)^{15})^3+10^3\implies (3^{30})^3+10^3\implies (3^{30}+10)~~[(3^{30})^2-(3^{30})(10)+10^2] \\\\\\ (3^{30})^3+10^3\implies (3^{30}+10)~~~~[(3^{60})-(3^{30})(10)+10^2]$

now, we could expand them, but there's no need, since it's just factoring.

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3 years ago

9.6 *10 ^-4 in standard notation

8_murik_8 [283]

9.6 x 10^-4 = 0.00096

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3 years ago

1) 6/31*<br> Is a rational or irrational

Mars2501 [29]

Answer:

Rational

Step-by-step explanation:

Because irrational numbers cannot be expressed as a fraction

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3 years ago

Use the table to find the slope

Masteriza [31]

Points (-1,4) (3,6)
Slope: (6-4)/(3+1) = 2/4
The slope is 1/2

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3 years ago

The circumference of a circle is 212 inches What is the measurement of the diameter of the circle round your answer to the neare

Zepler [3.9K]

Hi there!
So first to find the diameter, you will need to find the radius of the circle because the diameter is twice the length of the radius.
Find the radius from the circumference, which is $2 \pi r$ .
C= $2 \pi r$
212= $2 \pi r$
212/ $2 \pi$ =r
Then solve for r.
Radius= 33.74
Then multiply the radius by 2 to find the diameter.
Diameter= 2 * 33.74
Diameter= 67.5 inches

Hope this helps :)

4 0

3 years ago

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